Pisot Numbers and Primes
Number Theory
2012-05-08 v1 Dynamical Systems
Abstract
We define and study a transform whose iterates bring to the fore interesting relations between Pisot numbers and primes. Although the relations we describe are general, they take a particular form in the Pisot limit points. We give three elegant formulae, which permit to locate on the whole semi-line all limit points that are not integer powers of other Pisot numbers.
Cite
@article{arxiv.1205.1054,
title = {Pisot Numbers and Primes},
author = {Andrei Vieru},
journal= {arXiv preprint arXiv:1205.1054},
year = {2012}
}
Comments
12 pages